2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114937We investigate the origin of Abelian and non-Abelian type magnetic instabilities induced by Fermi surface mismatch between the two pairing fermions in a non-relativistic model. The Abelian type instability occurs only in gapless state and the Meissner mass squared becomes divergent at the gapless-gapped transition point, while the non-Abelian type instability happens in both gapless and gapped states and the divergence vanishes. The non-Abelian type instability can be cured in strong coupling region.7 pages, 2 figures, more references added, accepted for publication in PRDHigh Energy Physics - PhenomenologySuperconductivitytext